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Finding the Fourth Proportional to 3,208.62, 4,427.88 and 1,792.26

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Solution

The fourth proportional to 3,208.62, 4,427.88 and 1,792.26 is: 2,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.62 : 4,427.88 = 1,792.26 : x
  2. Step 2: Convert to fraction form
    3,208.62/4,427.88 = 1,792.26/x
  3. Step 3: Cross multiply
    3,208.62x = 4,427.88 × 1,792.26
  4. Step 4: Simplify right side
    3,208.62x = 7,935,912.21
  5. Step 5: Solve for x
    x = 7,935,912.21/3,208.62
  6. Step 6: Final answer
    x = 2,473.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.